Question

Question 14 of 15, Step 1 of 1CorrectThe volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 460 cubic inches under a pressure of 10 pounds per squareinch, what will be its volume if the pressure is increased to 19 pounds per square inch? (Round off your answer to the nearest cubic inch.)

Answer 1

We are given that the volume (V) varies inversely with the pressure (P), therefore:

`V=(k)/(P),`

where k is a constant.

Now, to determine the value of k, we use the given information, we know that:

`460in^3=\frac{k}{10\text{ PSI}}.`

Therefore:

`k=460in^3*10PSI.`

Now, if P=19 pounds, we get that:

`V=\frac{460in^3*10PSI}{19\text{ PSI}}.`

Simplifying the above result, we get:

`V\approx242\text{ in}^3.`

Answer:

`242\text{ in}^3.`